Constrained C/sup 1/ piecewise bicubic Bezier surface interpolation

Author

Caiming Zhang ; Fuhua Cheng ; Barsky, B.A.

Author_Institution

Dept. of Comput. Sci., Kentucky Univ., Lexington, KY, USA

fYear

2000

fDate

10-12 April 2000

Firstpage

162

Lastpage

171

Abstract

The construction of a C/sup 1/ piecewise bicubic Bezier surface that interpolates a set of data points and lies on the same side of a given plane as the data points is presented. The main tasks in this construction process are the adjustment of the tangent vectors and the determination of the twist vectors at the data points. The tangent vectors are modified by decreasing their magnitudes. The twist vectors are first set by an energy minimization process and then filtered through a modification process to ensure the constructed surface lies on one side of the given plane. The technique for determining the twist vectors has an interpolation precision of cubic polynomials.

Keywords

computational geometry; curve fitting; interpolation; polynomials; surface fitting; vectors; computational geometry; cubic polynomials; curves; data points; energy minimization; piecewise bicubic Bezier surface interpolation; tangent vector adjustment; twist vectors; Computer graphics; Computer science; Interpolation; Manufacturing processes; Polynomials; Shape; Solid modeling; Spline;

fLanguage

English

Publisher

ieee

Conference_Titel

Geometric Modeling and Processing 2000. Theory and Applications. Proceedings

Conference_Location

Hong Kong, China

Print_ISBN

0-7695-0562-7

Type

conf

DOI

10.1109/GMAP.2000.838248

Filename

838248